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Finding the Third Proportional to 193,632 and 311,944

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Solution

The third proportional to 193,632 and 311,944 is: 502,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,632 : 311,944 = 311,944 : x
  2. Step 2: Convert to fraction form
    193,632/311,944 = 311,944/x
  3. Step 3: Cross multiply
    193,632x = 311,944 × 311,944
  4. Step 4: Simplify right side
    193,632x = 97,309,059,136
  5. Step 5: Solve for x
    x = 97,309,059,136/193,632
  6. Step 6: Final answer
    x = 502,546.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.